Answer:
14.32
Step-by-step explanation:
We can find the distance using the distance formula:
We then substitute (-2,8) as
and (11,2) as
.
It should be C
The sequence goes 2, 7, 17, 37
2 * 2 = 4 + 3 = 7
7 * 2 = 14 + 3 =17
17 * 2 = 34 + 3 =37
and so on.
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Answer:
I keep getting no solution
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−4)=−9+5x+15
(5)(x)+(5)(−4)=−9+5x+15(Distribute)
5x+−20=−9+5x+15
5x−20=(5x)+(−9+15)(Combine Like Terms)
5x−20=5x+6
5x−20=5x+6
Step 2: Subtract 5x from both sides.
5x−20−5x=5x+6−5x
−20=6
Step 3: Add 20 to both sides.
−20+20=6+20
0=26
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that
,
and
, then the proportion of the paint that is 30 % gloss is:




And the quantity of gallons needed of each paint are:
Paint (30 % gloss)


Paint (15 % gloss)



The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478
For this case we have the following equation:
S = 0.159 + 0.118logD
Substituting S = 0.2 we have:
0.2 = 0.159 + 0.118logD
From here, we clear the value of D.
We have then:
0.2 - 0.159 = 0.118logD
logD = (0.2 - 0.159) / (0.118)
logD = 0.347457627
10 ^ (logD) = 10 ^ 0.347457627
D = 10 ^ (0.347457627)
D = 2.23 mm
Answer:
The average diameter, D, of the sand particles for a beach is:
D = 2.23 mm